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Finding the Fourth Proportional to 814.90, 1,214.93 and 737.14

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Solution

The fourth proportional to 814.90, 1,214.93 and 737.14 is: 1,099.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.90 : 1,214.93 = 737.14 : x
  2. Step 2: Convert to fraction form
    814.90/1,214.93 = 737.14/x
  3. Step 3: Cross multiply
    814.90x = 1,214.93 × 737.14
  4. Step 4: Simplify right side
    814.90x = 895,573.50
  5. Step 5: Solve for x
    x = 895,573.50/814.90
  6. Step 6: Final answer
    x = 1,099.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.